Finding the Third Proportional to 37,208 and 81,786

Step by Step Solution

1. Step 1: Write the proportion equation
   37,208 : 81,786 = 81,786 : x
2. Step 2: Convert to fraction form
   37,208/81,786 = 81,786/x
3. Step 3: Cross multiply
   37,208x = 81,786 × 81,786
4. Step 4: Simplify right side
   37,208x = 6,688,949,796
5. Step 5: Solve for x
   x = 6,688,949,796/37,208
6. Step 6: Final answer
   x = 179,771.82